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Akademický článek
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We study *-differential calculi over compact quantum groups in the sense of S.L. Woronowicz. Our principal results are the construction of a Hodge operator commuting with the Laplacian, the derivation of a corresponding Hodge decomposition of the cal
Externí odkaz:
http://arxiv.org/abs/math/0111042
We define concepts of amenability and co-amenability for algebraic quantum groups in the sense of A. Van Daele. We show that co-amenability of an algebraic quantum group always implies amenability of its dual. Various necessary and/or sufficient cond
Externí odkaz:
http://arxiv.org/abs/math/0111025
We continue our study of the concepts of amenability and co-amenability for algebraic quantum groups in the sense of A. Van Daele and our investigation of their relationship with nuclearity and injectivity. One major tool for our analysis is that eve
Externí odkaz:
http://arxiv.org/abs/math/0111026
We study some aspects of the theory of non-commutative differential calculi over complex algebras, especially over the Hopf algebras associated to compact quantum groups in the sense of S.L. Woronowicz. Our principal emphasis is on the theory of twis
Externí odkaz:
http://arxiv.org/abs/math/0110199
Publikováno v:
Transactions of the American Mathematical Society, 2005 Dec 01. 357(12), 4681-4717.
Externí odkaz:
https://www.jstor.org/stable/3845294
Autor:
Murphy, G. J., Tuset, L.
Publikováno v:
Proceedings of the American Mathematical Society, 2004 Oct 01. 132(10), 3055-3067.
Externí odkaz:
https://www.jstor.org/stable/4097269
Autor:
Murphy, G. J.1 gjm19@le.ac.uk
Publikováno v:
BJA: The British Journal of Anaesthesia. Feb2018, Vol. 120 Issue 2, p406-407. 2p.
Autor:
Marcoux, L. W., Murphy, G. J.
Publikováno v:
Proceedings of the American Mathematical Society, 1998 Dec 01. 126(12), 3597-3605.
Externí odkaz:
https://www.jstor.org/stable/118969
Autor:
Murphy, G. J., Phillips, N. C.
Publikováno v:
Transactions of the American Mathematical Society, 1996 Jun 01. 348(6), 2291-2306.
Externí odkaz:
https://www.jstor.org/stable/2155105